Answer:
137
Step-by-step explanation:
Sum of opposite angles in a quadrilateral embedded in a circle = 180
43+x=180
x=180-43
x=137
First take a derivative,
![\frac{d}{dx}-5t^2+10t+30=-10t+10=-10(t-1)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D-5t%5E2%2B10t%2B30%3D-10t%2B10%3D-10%28t-1%29)
Now compute the critical point where the slope is 0,
![-10(t-1)=0\implies t-1=0\implies t=1](https://tex.z-dn.net/?f=-10%28t-1%29%3D0%5Cimplies%20t-1%3D0%5Cimplies%20t%3D1)
And done.
The maximum height is at
of
.
Hope this helps :)
Answer:
3/13
Step-by-step explanation:
1/3 / 13/9
1/3 * 9/13
1/1 * 3/13
3/13
Answer:
x = ±2sqrt(2)
Step-by-step explanation:
x^2 = 8
Take the square root of each side
sqrt(x^2) = ±sqrt(8)
x = ±sqrt(4*2)
We know that sqrt(ab) = sqrt(a)sqrt(b)
x = ±sqrt(4)sqrt(2)
x = ±2sqrt(2)